Finding the Third Proportional to 49,672 and 96,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,672 : 96,846.50 = 96,846.50 : x
2. Step 2: Convert to fraction form
   49,672/96,846.50 = 96,846.50/x
3. Step 3: Cross multiply
   49,672x = 96,846.50 × 96,846.50
4. Step 4: Simplify right side
   49,672x = 9,379,244,562.25
5. Step 5: Solve for x
   x = 9,379,244,562.25/49,672
6. Step 6: Final answer
   x = 188,823.57